(X-k)(x-k-1)=0

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Solution for (X-k)(x-k-1)=0 equation: 


Simplifying
(X + -1k)(x + -1k + -1) = 0

Reorder the terms:
(X + -1k)(-1 + -1k + x) = 0

Multiply (X + -1k) * (-1 + -1k + x)
(X(-1 + -1k + x) + -1k * (-1 + -1k + x)) = 0
((-1 * X + -1k * X + x * X) + -1k * (-1 + -1k + x)) = 0
((-1X + -1kX + xX) + -1k * (-1 + -1k + x)) = 0
(-1X + -1kX + xX + (-1 * -1k + -1k * -1k + x * -1k)) = 0

Reorder the terms:
(-1X + -1kX + xX + (1k + -1kx + 1k2)) = 0
(-1X + -1kX + xX + (1k + -1kx + 1k2)) = 0

Reorder the terms:
(-1X + 1k + -1kX + -1kx + 1k2 + xX) = 0
(-1X + 1k + -1kX + -1kx + 1k2 + xX) = 0

Solving
-1X + 1k + -1kX + -1kx + 1k2 + xX = 0

Solving for variable 'X'.

Move all terms containing X to the left, all other terms to the right.

Add '-1k' to each side of the equation.
-1X + 1k + -1kX + -1kx + 1k2 + -1k + xX = 0 + -1k

Reorder the terms:
-1X + 1k + -1k + -1kX + -1kx + 1k2 + xX = 0 + -1k

Combine like terms: 1k + -1k = 0
-1X + 0 + -1kX + -1kx + 1k2 + xX = 0 + -1k
-1X + -1kX + -1kx + 1k2 + xX = 0 + -1k
Remove the zero:
-1X + -1kX + -1kx + 1k2 + xX = -1k

Add 'kx' to each side of the equation.
-1X + -1kX + -1kx + 1k2 + kx + xX = -1k + kx

Reorder the terms:
-1X + -1kX + -1kx + kx + 1k2 + xX = -1k + kx

Combine like terms: -1kx + kx = 0
-1X + -1kX + 0 + 1k2 + xX = -1k + kx
-1X + -1kX + 1k2 + xX = -1k + kx

Add '-1k2' to each side of the equation.
-1X + -1kX + 1k2 + -1k2 + xX = -1k + kx + -1k2

Combine like terms: 1k2 + -1k2 = 0
-1X + -1kX + 0 + xX = -1k + kx + -1k2
-1X + -1kX + xX = -1k + kx + -1k2

Reorder the terms:
-1X + k + -1kX + -1kx + k2 + xX = -1k + kx + -1k2 + k + -1kx + k2

Reorder the terms:
-1X + k + -1kX + -1kx + k2 + xX = -1k + k + kx + -1kx + -1k2 + k2

Combine like terms: -1k + k = 0
-1X + k + -1kX + -1kx + k2 + xX = 0 + kx + -1kx + -1k2 + k2
-1X + k + -1kX + -1kx + k2 + xX = kx + -1kx + -1k2 + k2

Combine like terms: kx + -1kx = 0
-1X + k + -1kX + -1kx + k2 + xX = 0 + -1k2 + k2
-1X + k + -1kX + -1kx + k2 + xX = -1k2 + k2

Combine like terms: -1k2 + k2 = 0
-1X + k + -1kX + -1kx + k2 + xX = 0

The solution to this equation could not be determined.

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